01
Side AB = 30 cm, Side BC = 30 cm, Side AC = 20 cm. What kind of a triangle is this?
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The answer key for this sample question is not available yet.
CLASS 9 · Math · CHAPTER PRACTICE
Class 9 Maths: Triangles Olympiad Questions
Build your understanding of Triangles, try the sample questions, and review your answers at your own pace.
UNDERSTAND THE CONCEPTS
The figure that is enclosed from three sides is known as a triangle. Many properties are present that help show the congruence of triangles, like SAS, SSS, ASA, AAS, and many other terms.
A different set of criteria for the Congruence of the triangle
1. SAS:
- The SAS property makes the triangle congruent by its two sides and one angle.
- It means when in a given triangle, the two sides are equal, and one angle is equal, the triangle becomes congruent by the property of the SAS rule.
2. AAS:
- The AAS property makes the triangle congruent by its two angles and one side.
- It means when in a given triangle, the two angles are equal and one side is equal, the triangle becomes congruent by the property of the AAS rule.
3. SSS:
- The SSS property makes the triangle congruent by its three sides.
- When in a given triangle, all the three sides are equal. The triangle becomes congruent by the property of the SSS rule.
4. ASA:
- The ASA property makes the triangle congruent by its two angles and one side.
- It means when in a given triangle, the two angles are equal and one side is equal, the triangle becomes congruent by the property of the ASA rule.
WATCH AND LEARN
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LEARN BY DOING
Free Triangles Olympiad Questions for Class 9
5 questions to build confidence. Choose an answer, then explore the explanation.
02
In triangle ABC, angle A = 50 degrees and angle C = 50 degrees. What can we tell about this triangle?
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Answer: D. both a and c
Angles A and C are equal, so the opposite sides AB and BC are equal; also angle B = 180 - 50 - 50 = 80 degrees.
03
A right triangle has a hypotenuse of length 17. If one side has a length of 15, what is the length of the third side?
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The answer key for this sample question is not available yet.
04
In the triangle ABC ang B=22 deg, bar (AC)=14, and bar (BC) = 3. In triangle DEF bar (DF)=3, ang F=22 deg , and bar (DE)=14. Which postulate proves that the triangle ABC ~= EFD?
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Answer: D. They are not necessarily congruent.
The given information is SSA, which does not guarantee triangle congruence.
05
In the triangle, angle A is 3 times as big as angle B, which is 2 times as big as angle C. What is the value of of angle C?
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The answer key for this sample question is not available yet.
KEEP PRACTISING
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